442122201312 has 96 divisors (see below), whose sum is σ = 1266236012160. Its totient is φ = 133959621120.

The previous prime is 442122201307. The next prime is 442122201329. The reversal of 442122201312 is 213102221244.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10330614 + ... + 10373322.

It is an arithmetic number, because the mean of its divisors is an integer number (13189958460).

Almost surely, 2^442122201312 is an apocalyptic number.

It is an amenable number.

442122201312 is an abundant number, since it is smaller than the sum of its proper divisors (824113810848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

442122201312 is a wasteful number, since it uses less digits than its factorization.

442122201312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52536 (or 52528 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 442122201312 its reverse (213102221244), we get a palindrome (655224422556).

The spelling of 442122201312 in words is "four hundred forty-two billion, one hundred twenty-two million, two hundred one thousand, three hundred twelve".